Flow caused by a point sink in a fluid having a free surface
- 1 October 1990
- journal article
- research article
- Published by Cambridge University Press (CUP) in The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
- Vol. 32 (2) , 231-249
- https://doi.org/10.1017/s0334270000008456
Abstract
The flow caused by a point sink immersed in an otherwise stationary fluid is investigated. Low Froude number solutions are sought, in which the flow is radially symmetric and possesses a stagnation point at the surface, directly above the sink. A small-Froude-number expansion is derived and compared with the results of a numerical solution to the fully nonlinear problem. It is found that solutions of this type exist for all Froude numbers less than some maximum value, at which a secondary circular stagnation line is formed at the surface. The nonlinear solutions are reasonably well predicted by the small-Froude-number expansion, except for Froude numbers close to this maximum.Keywords
This publication has 10 references indexed in Scilit:
- An algorithm for 3-dimensional free-surface problems in hydrodynamicsJournal of Computational Physics, 1989
- A note on the free surface induced by a submerged source at infinite Froude numberThe Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1988
- Infinite Froude number solutions to the problem of a submerged source or sinkThe Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1988
- Free surface flow due to a sinkJournal of Fluid Mechanics, 1987
- Two infinite-Froude-number cusped free-surface flows due to a submerged line source or sinkThe Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1986
- On the effects of non-linearity in free-surface flow about a submerged point vortexJournal of Engineering Mathematics, 1985
- Cusp-like free-surface flows due to a submerged source or sink in the presence of a flat or sloping bottomThe Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1985
- A cusp-like free-surface flow due to a submerged source or sinkThe Journal of the Australian Mathematical Society. Series B. Applied Mathematics, 1984
- Axisymmetric bubble or drop in a uniform flowJournal of Fluid Mechanics, 1981
- Divergent low-Froude-number series expansion of nonlinear free-surface flow problemsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1978